Question

solve for x.
answer x=
round answer to 2 decimal places if needed.
question help: video read

Explanation:

Step1: Use the formula for the sum of interior angles of a polygon

The sum of interior angles of an \(n\) -sided polygon is \((n - 2)\times180^{\circ}\). Here \(n=6\), so the sum is \((6 - 2)\times180^{\circ}=720^{\circ}\).

Step2: Set up an equation

We have \(2x+4x + 2x+6x+5x+2x=720\). Combine like terms: \((2 + 4+2 + 6+5+2)x=720\), so \(21x = 720\).

Step3: Solve for \(x\)

Divide both sides by \(21\): \(x=\frac{720}{21}\approx34.29\).

Answer:

\(x\approx34.29\)